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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
37044.y.1a $1$ R \(\Q\) 37044.y.1a $C_7^3:C_3^2:D_6$ $C_1$ $1$ 1.a1 $37044$ 1.a1
37044.y.1b $1$ R \(\Q\) 37044.y.1b $C_7^3:C_3^2:D_6$ $C_2$ $2$ 2.b1 $18522$ 1.a1
37044.y.1c $1$ R \(\Q\) 37044.y.1c $C_7^3:C_3^2:D_6$ $C_2$ $2$ 2.b1 $18522$ 1.a1
37044.y.1d $1$ R \(\Q\) 37044.y.1d $C_7^3:C_3^2:D_6$ $C_2$ $2$ 2.a1 $18522$ 1.a1
37044.y.2a $2$ R \(\Q\) 37044.y.2a $C_7^3:C_3^2:D_6$ $S_3$ $6$ 6.a1 $6174$ 6.a1
37044.y.2b $2$ R \(\Q\) 37044.y.2b $C_7^3:C_3^2:D_6$ $S_3$ $6$ 6.a1 $6174$ 6.a1
37044.y.2c $2$ R \(\Q\) 37044.y.2c $C_7^3:C_3^2:D_6$ $S_3$ $6$ 6.a1 $6174$ 6.a1
37044.y.2d $2$ R \(\Q\) 37044.y.2d $C_7^3:C_3^2:D_6$ $S_3$ $6$ 6.a1 $6174$ 6.a1
37044.y.2e $2$ R \(\Q\) 37044.y.2e $C_7^3:C_3^2:D_6$ $D_6$ $12$ 12.a1 $3087$ 6.a1
37044.y.2f $2$ R \(\Q\) 37044.y.2f $C_7^3:C_3^2:D_6$ $D_6$ $12$ 12.a1 $3087$ 6.a1
37044.y.2g $2$ R \(\Q\) 37044.y.2g $C_7^3:C_3^2:D_6$ $D_6$ $12$ 12.a1 $3087$ 6.a1
37044.y.2h $2$ R \(\Q\) 37044.y.2h $C_7^3:C_3^2:D_6$ $D_6$ $12$ 12.a1 $3087$ 6.a1
37044.y.3a1 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3a $C_7^3:C_3^2:D_6$ $C_3^2:S_3$ $54$ 54.a1 $686$ 18.a1
37044.y.3a2 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3a $C_7^3:C_3^2:D_6$ $C_3^2:S_3$ $54$ 54.a1 $686$ 18.a1
37044.y.3b1 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3b $C_7^3:C_3^2:D_6$ $C_3^2:S_3$ $54$ 54.a1 $686$ 18.a1
37044.y.3b2 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3b $C_7^3:C_3^2:D_6$ $C_3^2:S_3$ $54$ 54.a1 $686$ 18.a1
37044.y.3c1 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3c $C_7^3:C_3^2:D_6$ $C_3^2:D_6$ $108$ 108.a1 $343$ 18.a1
37044.y.3c2 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3c $C_7^3:C_3^2:D_6$ $C_3^2:D_6$ $108$ 108.a1 $343$ 18.a1
37044.y.3d1 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3d $C_7^3:C_3^2:D_6$ $C_3^2:D_6$ $108$ 108.a1 $343$ 18.a1
37044.y.3d2 $3$ C \(\Q(\sqrt{-3}) \) 37044.y.3d $C_7^3:C_3^2:D_6$ $C_3^2:D_6$ $108$ 108.a1 $343$ 18.a1
37044.y.9a1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9a $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9a2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9a $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9b1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9b $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9b2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9b $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9c1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9c $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9c2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9c $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9d1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9d $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9d2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9d $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9e1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9e $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9e2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9e $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9f1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9f $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9f2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9f $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9g1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9g $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9g2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9g $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9h1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9h $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9h2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9h $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:S_3$ $18522$ 18522.a1 $2$ 18522.a1
37044.y.9i1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9i $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9i2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9i $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9j1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9j $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9j2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9j $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9k1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9k $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9k2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9k $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9l1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9l $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9l2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9l $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9m1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9m $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9m2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9m $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9n1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9n $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9n2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9n $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9o1 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9o $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
37044.y.9o2 $9$ C \(\Q(\sqrt{-7}) \) 37044.y.9o $C_7^3:C_3^2:D_6$ $C_7^3:C_3^2:D_6$ $37044$ 37044.a1 $1$ 18522.a1
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